Analytical solutions of the Klein-Fock-Gordon equation with the Manning-Rosen potential plus a Ring-Shaped like potential

Abstract

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein-Fock-Gordon equation of the Manning-Rosen plus ring-shaped like potential are obtained by Nikiforov-Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary $l$ states. The conclusion also contain central Manning-Rosen, central and non-central Hulthén potential.

14 pages. arXiv admin note: substantial text overlap with arXiv:1210.5377

References in corpus (13)

• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials
• Analytical solutions of the Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state
• Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential
• Solution of the relativistic Dirac-Hulthen problem
• The Schrodinger equation with Hulthen potential plus ring-shaped potential
• Dirac and Klein-Gordon particles in complex Coulombic fields; a similarity transformation
• L2 series solution of the relativistic Dirac-Morse problem for all energies
• Separation of variables and exact solution of the Klein-Gordon and Dirac equations in an open universe
• Graded extension of SO(2,1) Lie algebra and the search for exact solutions of Dirac equation by point canonical transformations
• Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• New exactly solvable periodic potentials for the Dirac equation
• Perturbed Coulombic potentials in Dirac and Klein-Gordon equations

Cited by in corpus (6)

• Bound State Solution of the Klein-Fock-Gordon equation with the Hulthén plus a Ring-Shaped like potential within SUSY quantum mechanics
• Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Analytical solution of $D$ dimensional Schrödinger equation for Eckart potential with a new improved approximation in centrifugal term
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Bound state solutions of the Klein Gordon equation with energy-dependent potentials